1
GATE EE 2025
Numerical
+2
-0
A controller $D(s)$ of the form $\left(1+K_D s\right)$ is to be designed for the plant $G(s)=\frac{1000 \sqrt{2}}{s(s+10)^2}$ as shown in the figure. The value of $K_D$ that yields a phase margin of $45^{\circ}$ at the gain cross-over frequency of $10 \mathrm{rad} / \mathrm{sec}$ is _________(round off to one decimal place). GATE EE 2025 Control Systems - Controller and Compensator Question 1 English
Your input ____
2
GATE EE 2025
MCQ (Single Correct Answer)
+2
-0.67

A Boolean function is given as

$$ f=(\bar{u}+\bar{v}+\bar{w}+\bar{x}) \cdot(\bar{u}+\bar{v}+\bar{w}+x) \cdot(\bar{u}+v+\bar{w}+\bar{x}) \cdot(\bar{u}+v+\bar{w}+x) $$

The simplified form of this function is represented by

A
GATE EE 2025 Digital Electronics - Boolean Algebra Question 1 English Option 1
B
GATE EE 2025 Digital Electronics - Boolean Algebra Question 1 English Option 2
C
GATE EE 2025 Digital Electronics - Boolean Algebra Question 1 English Option 3
D
GATE EE 2025 Digital Electronics - Boolean Algebra Question 1 English Option 4
3
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33

$$ \text { The I-V characteristics of the elements between the nodes } X \text { and } Y \text { is best depicted } $$

GATE EE 2025 Electric Circuits - Network Elements Question 1 English
A
GATE EE 2025 Electric Circuits - Network Elements Question 1 English Option 1
B
GATE EE 2025 Electric Circuits - Network Elements Question 1 English Option 2
C
GATE EE 2025 Electric Circuits - Network Elements Question 1 English Option 3
D
GATE EE 2025 Electric Circuits - Network Elements Question 1 English Option 4
4
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33

A nullator is defined as a circuit element where the voltage across the device and the current through the device are both zero. A series combination of a nullator and a resistor of value, $R$, will behave as a

A
resistor of value $R$
B
nullator
C
open circuit
D
short circuit
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